Consider the trigonometric expression 7sinx−24cosx.
a. (i) Define the term “amplitude” for an expression of the form asinx+bcosx. State how it is obtained from the numerical coefficients a and b.
b. (ii) Calculate the amplitude of 7sinx−24cosx.
c. (iii) Hence write down the maximum and minimum values that 7sinx−24cosx can assume for all real x, and give a brief reason for your answer.